Regional Dynamics of Rural Credit and Growth in India: Exploring Nonlinearity and Convergence in Growth Patterns

Abstract

In this article we consider the following boundary value problemwhere Ω is a bounded and C 2 smooth domain in R N and F has superlinear growth in gradient and c(c) < −c 0 for some positive constant c 0 . Here, we studies the boundary behaviour of the solutions to above equation and establishes the global regularity result similar to one established in [12,16] with linear growth in gradient.